Integration of singular subalgebroids by diffeological groupoids
Differential Geometry
2025-10-23 v3
Abstract
We establish an integration theory for singular subalgebroids, by diffeological groupoids. To do so, we single out a class of diffeological groupoids satisfying specific properties, and we introduce a differentiation-integration procedure under which they correspond to singular subalgebroids. Our definition of integration distinguishes the holonomy groupoid from the graph, although both differentiate to the original singular subalgebroid: the holonomy groupoid satisfies a certain submersive property, while the graph does not.
Cite
@article{arxiv.2008.07976,
title = {Integration of singular subalgebroids by diffeological groupoids},
author = {Iakovos Androulidakis and Marco Zambon},
journal= {arXiv preprint arXiv:2008.07976},
year = {2025}
}
Comments
v3: final version. 52 pages. 1 figure